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Simplifying x + 42 = -4x + 13 Reorder the terms: 42 + x = -4x + 13 Reorder the terms: 42 + x = 13 + -4x Solving 42 + x = 13 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 42 + x + 4x = 13 + -4x + 4x Combine like terms: x + 4x = 5x 42 + 5x = 13 + -4x + 4x Combine like terms: -4x + 4x = 0 42 + 5x = 13 + 0 42 + 5x = 13 Add '-42' to each side of the equation. 42 + -42 + 5x = 13 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 13 + -42 5x = 13 + -42 Combine like terms: 13 + -42 = -29 5x = -29 Divide each side by '5'. x = -5.8 Simplifying x = -5.8
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